704672 has 36 divisors (see below), whose sum is σ = 1488186. Its totient is φ = 328320.

The previous prime is 704663. The next prime is 704681. The reversal of 704672 is 276407.

It is an interprime number because it is at equal distance from previous prime (704663) and next prime (704681).

It can be written as a sum of positive squares in only one way, i.e., 698896 + 5776 = 836^2 + 76^2 .

It is an unprimeable number.

704672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11522 + ... + 11582.

2⁷⁰⁴⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744093).

704672 is an abundant number, since it is smaller than the sum of its proper divisors (783514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

704672 is a wasteful number, since it uses less digits than its factorization.

704672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 704672 is about 839.4474373062. The cubic root of 704672 is about 88.9874998225.

The spelling of 704672 in words is "seven hundred four thousand, six hundred seventy-two".